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  1. Brain Teasers
  2. Three missionaries and three cannibals must cross …
Brain Teaser🔴 hardLogic

Three missionaries and three cannibals must cross a river using a boat which can carry at most two people. If cannibals ever outnumber missionaries on either bank, the missionaries will be eaten. How do they all get across?

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Specific sequence: 2 cannibals cross, 1 returns. 2 cannibals cross, 1 returns. 2 missionaries cross, 1 missionary and 1 cannibal return. 2 missionaries cross, 1 cannibal returns. 2 cannibals cross, 1 returns. 2 cannibals cross.

Why this works

At first glance, this riddle seems like a perplexing dilemma straight out of a daring adventure tale, but it cleverly intertwines logic with a strategic battle of wits. The crux of the puzzle lies in ensuring that at no point do the cannibals outnumber the missionaries on either side of the river, thereby preventing the missionaries from being eaten. To achieve this, the sequence of crossings must be meticulously planned, allowing for the careful balancing of numbers and ensuring safe passage for all. As we break down the solution, we see that each crossing is not merely a matter of getting across but rather a careful orchestration of movements. By sending two cannibals first, they ensure that when one returns, the balance remains intact on both banks. This methodical approach highlights the importance of teamwork and strategy—key themes in many classic tales of survival and adventure. The simplicity of the boat’s capacity adds an extra layer of challenge, forcing us to think several steps ahead, much like a game of chess. What makes this riddle particularly satisfying is the moment of realization that comes when you finally map out the correct sequence. It's not just a test of logic; it’s a reminder of how seemingly insurmountable challenges can be tackled with patience and careful planning. This riddle also echoes themes found in folklore and mythology, where characters often face dire situations requiring clever solutions to escape peril. Interestingly, such puzzles have been used for centuries as educational tools, teaching critical thinking and problem-solving skills. The missionaries and cannibals riddle exemplifies how a simple setup can lead to profound lessons about strategy and cooperation—elements that resonate in many aspects of our everyday lives, from team projects to personal challenges.

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Common Wrong Answers

“All missionaries cross first”

If all missionaries cross first, the cannibals left behind on the initial bank will outnumber the missionaries, leading to their consumption.

“Send one missionary and one cannibal at a time”

Sending one missionary and one cannibal at a time does not effectively manage the risk of cannibals outnumbering missionaries on either bank, especially when the boat returns.

“Cross with two missionaries and one cannibal”

This option would leave one cannibal behind with two missionaries, which means the cannibal would outnumber the missionaries on that bank, putting them at risk.

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